# Course Descriptions

## Mathematics

### MAT 095

Mathematics Review

0 credits

This course is designed to provide a review of basic mathematics skills for students who need to strengthen their background in mathematics before they take higher-level courses. It provides a foundation for success in subsequent college-level mathematics. This course includes the following topics: order of operations, properties of numbers, fractions and decimals, ratio and proportion, percents, graphs and charts, applications, and exponents. Basic concepts in geometry (length, area, and volume) will be introduced if time permits. (Please note: MAT 095 is graded pass/fail; no letter grade is awarded.)

### MAT 110

Math Essentials

3 credits

This course provides a basic introduction to algebra. Topics covered in this course include: real numbers and their properties, algebraic expressions and exponents, solving first-degree equations in one variable, solving and graphing inequalities, graphing linear equations, using slope and y-intercept in graphing, polynomials and polynomial operations, solving quadratic equations, and solving two linear equations in two unknowns. Applications of algebra and the use of formulas will be covered. Credit for this course applies toward graduation as an elective. (Please note: minimum passing grade is a "C").

*Prerequisite(s): Pass math skills assessment or MAT 095.*

### MAT 121

College Math I

3 credits

PRIOR TO FALL 2013, THIS COURSE WAS OFFERED AS MAT 101. This course provides a review of algebra fundamentals, including linear equations and inequalities, polynomials, factoring, rational expressions, integer exponents, and quadratic equations. The course will also cover linear, quadratic, polynomial, rational, and exponential functions as well as graphing techniques for these functions. The elimination method for solving systems of linear equations will be discussed. The mathematics of finance will be introduced. Applications of mathematics will be stressed. Please note that a minimum grade of "C" or better is required in this course in order for a student to take higher level math courses for which this course is a prerequisite.

*Prerequisite(s): Pass math skills assessment or MAT 110 with a grade of "C" or better.*

### MAT 122

College Math II

3 credits

PRIOR TO FALL 2013, THIS COURSE WAS OFFERED AS MAT 102. Basic probability will be introduced as well as conditional probability, permutations and combinations, binomial trials and probability distributions, and expected value. An introduction to statistics will cover frequency distributions, measures of central tendency and variation, as well as the normal and binomial distributions. An introduction to calculus will cover limits of functions, derivatives, applications of derivatives. An overview of integration will be provided, if time permits. Please note that a minimum grade of "C" or better is required in this course in order for a student to take higher level math courses for which this course is a prerequisite.

*Prerequisite(s): MAT 121 with a minimum grade of C.*

### MAT 200

Pre-Calculus

3 credits

This course provides an integrated review of intermediate algebra, analytic geometry, and basic trigonometry in order to prepare the student for calculus. Appropriate topics in algebra are reviewed. The concept of "function" is stressed. Various classes of functions and their respective graphs and applications will be covered. Specifically, the course will cover linear, quadratic, polynomial, rational, exponential, logarithmic, and trigonometric functions. Please note that a minimum grade of C is required in order for students to take Calculus I (MAT 310)

*Prerequisite(s): MAT 121 or MAT 205 with a minimum grade of "C" or college algebra equivalent.*

### MAT 201

Mathematics for Teachers I

3 credits

This class will prepare teacher candidates to become effective mathematics teachers in their own classrooms. Through mathematical investigations, candidates will learn the underlying concepts, structures, functions and patterns that promote mathematical reasoning and understanding. Candidates will investigate how moving progressively through essential topics deepens their understanding of mathematics. Students will use Common Core Mathematics Standards and STEM strategies. Various methods such as modeling, collaboration, manipulatives, thinking made visible, and writing across the curriculum will be presented for bridging classroom activities and real-world problem solving. Teacher candidates will learn how to analyze their students’ math-solving processes by developing thorough explanations of their own mathematical understanding and critiquing the explanation of others’ mathematical understandings. Candidates will communicate their mathematical ideas, processes, analyses and understandings through both writing and speaking. This course concentrates on numbers and operations and their application to student learning and classroom teaching.

*Prerequisite(s): Successfully passing math skills assessment or MAT 110 with a minimum grade of C.*

### MAT 202

Mathematics for Teachers II

3 credits

This class will prepare teacher candidates to become effective mathematics teachers in their own classrooms. Through mathematical investigations candidates will learn the underlying concepts, structures, functions and patterns that promote mathematical reasoning and understanding. Candidates will investigate how moving progressively through essential topics deepens their understanding of mathematics. Students will use Common Core Mathematics Standards and STEM strategies. Various methods such as modeling, collaboration, manipulatives, thinking made visible, and writing across the curriculum will be presented for bridging classroom activities and real-world problem solving. Teacher candidates will learn how to analyze their students’ math-solving processes by developing thorough explanations of their own mathematical understanding and critiquing the explanation of others’ mathematical understandings. Candidates will communicate their mathematical ideas, processes, analyses and understandings through both writing and speaking. This course concentrates on geometry, measurement, probability and statistics and their application to student learning and classroom teaching.

*Prerequisite(s): MAT 201 with a minimum grade of C.*

### MAT 205

Introductory Survey of Mathematics

3 credits

This course provides an introduction to a broad range of areas in mathematics, including algebra, probability, and statistics. Topics in algebra include solving and graphing linear, quadratic, and exponential functions in context. Topics in probability include counting principles, combination, permutations, compound and independent events. The statistics portion of the course covers measures of central tendency, measures of dispersion and the normal curve. Please note that the minimum passing grade for this course is "C."

*Prerequisite(s): Pass math skills assessment or MAT 110 with a minimum grade of "C".*

### MAT 304

Mathematics for Teachers III

3 credits

This class will prepare teacher candidates to become effective mathematics teachers in their own classrooms. Through mathematical investigations candidates will learn the underlying concepts, structures, functions and patterns that promote mathematical reasoning and understanding. Candidates will investigate how moving progressively through essential topics deepens their understanding of mathematics. Students will use Common Core Mathematics Standards and STEM strategies. Various methods such as modeling, collaboration, manipulatives, thinking made visible, and writing across the curriculum will be presented for bridging classroom activities and real-world problem solving. Teacher candidates will learn how to analyze their students’ math-solving processes by developing thorough explanations of their own mathematical understanding and critiquing the explanation of others’ mathematical understandings. Candidates will communicate their mathematical ideas, processes, analyses and understandings through both writing and speaking. This course concentrates on algebra and functions and their application to student learning and classroom teaching.

*Prerequisite(s): MAT 202 with a minimum grade of C.*

### MAT 308

Inferential Statistics

3 credits

This course introduces the student to the scientific method of collecting, organizing, and interpreting quantitative data in real-world applications. Topics include sampling methods, graphical displays, measures of central tendency and dispersion, linear regression and correlation, continuous and discrete probability distributions, confidence intervals for one-sample means and proportions, hypothesis testing for one- and two-sample population means, and goodness of fit hypothesis testing.

*Prerequisite(s): MAT 122 or MAT 202 or MAT 205 with minimum grade of "C" or BSN candidate. *

### MAT 310

Calculus I

3 credits

After a brief review of classes of functions and their properties, this course provides an introduction to differential calculus. Topics include limits, continuity, the derivative, techniques for finding the derivative, use of the derivative in graphing functions, and implicit differentiation. Applications of the derivative, including extrema applications and related rates, are covered.

*Prerequisite(s): MAT 200 with a minimum grade of "C".*

### MAT 311

Calculus II

3 credits

This course is a continuation of MAT 310. Topics include antiderivatives, the definite integral, the Fundamental Theorem of Calculus, integration techniques, applications of the definite integral, and improper integrals. An overview of multivariable calculus includes partial derivatives, minima and maxima, and double integrals. The course concludes with a discussion of Taylor series and L’Hospital’s rule. An introduction to differential equations is given, if time permits.

*Prerequisite(s): MAT 310*

### MAT 312

Business Statistics

3 credits

This course introduces the student to the scientific method of collecting, organizing, and interpreting quantitative data in real-world applications. Topics include sampling methods, graphical displays, measures of central tendency and dispersion, linear regression and correlation, continuous and discrete probability distributions, confidence intervals for one and two sample means, proportions, and variances, hypothesis testing for one and two sample population means, proportions, and variances, and goodness of fit hypothesis testing.** **If time allows,** **ANOVA will be introduced. The use of Microsoft Excel is incorporated into this course.

*Prerequisite(s): MAT 205 or MAT 122 with a minimum grade of C or College of Business completion degree candidate.*

### MAT 313

Experimental Design

3 credits

A well-designed experiment is an efficient way of learning about the world. Experiments are performed in all branches of science, engineering and industry. Problems of increasing size and complexity have led to the development of many new methods for designing and analyzing experiments. This course provides a grounding in the statistical and mathematical methods that underpin the design and analysis of experiments (e.g. randomization, replication, blocking, confounding, ANOVA, etc.). In addition, how to construct a research question that can be evaluated using an experiment and explore some common experimental designs will be studied (e.g. complete randomized design, block randomized design, full and fractional factorial design). A course project allowing students to develop a research question, design an experiment, and collect and analyze the data will allow students to exercise their understanding of experimental design in a practical manner.*Prerequisite(s): MAT 308 or MAT 312 with a minimum grade of C.*

### MAT 314

Regression Analysis for the Social Sciences

3 credits

Regression analysis is one of the most widely used statistical techniques and has a wide and diverse array of applications. This course focuses on the understanding and presentation of regression models and associated methods, data analysis, interpretation of results, statistical computation and model building in a social sciences context. Topics include: simple and multiple linear regression analysis, models for qualitative and quantitative predictors, variable selection procedures, detection and effects of multi-collinearity, variable transformations, identification and effects of influential and outlier observations, residual analysis. Examples using SPSS software will provide students with an easy to use tool to conduct regression analysis. A course project will require students to gather data of interest to their particular major or area of interest, conduct an appropriate regression analysis, and present summary results and conclusions.*Prerequisite(s): MAT 308 or MAT 312 with a minimum grade of C.*

### MAT 320

Finite Mathematics

3 credits

This course provides a survey of selected topics in mathematics, with emphasis on problem solving and applications. Core topics include an introduction to logic, set theory, probability, systems of linear equations, and an introduction to linear programming. Additional topics may include an introduction to statistics and mathematics of finance, if time permits.

*Prerequisite(s): MAT 304, MAT 205, MAT 121 or college algebra equivalent.*

### MAT 330

Discrete Math

3 credits

This course provides an introduction to discrete mathematics. Topics include sets, functions and relations, mathematical induction and logic, elements of number theory, counting techniques, recursion, graphs and trees, and an introduction to Boolean algebra. Applications in computer science are reviewed

*Prerequisite(s): MAT 200 and MAT 320*

### MAT 331

Geometry

3 credits

This course presents the core concepts and principles of Euclidean geometry in two and three dimensions. Topics include geometric constructions, congruence, similarity, transformations, measurement, and coordinate geometry. Axiomatic systems and proofs are covered. An overview of non-Euclidean geometries is provided.

*Prerequisite(s): MAT 200*

### MAT 332

History of Mathematics

3 credits

This course provides an overview of the historical evolution of major concepts in mathematics including counting and number systems, geometry, algebra, calculus, and statistics. The contributions of various civilizations ranging from Babylonia and Egypt through Greece and the Middle East to the modern world are reviewed. Biographical sketches of some of the individuals who made major contributions to the development of mathematics are presented. The interrelationship between the evolution of mathematics, science, and technology is explored.

*Prerequisite(s): MAT 311, MAT 308, and MAT 331*